| Abstract: |
| We consider a model describing the evolution of a tumor inside of a host tissue. The process is described by the phase parameters representing the concentrations of proliferating and dead cells (satisfying a multi-component variant of the Cahn-Hilliard system with singular potential), by the macroscopic flow velocity (obeying to Darcy`s law), and by the nutrient concentration (linked to the phase variables by an elliptic relation). Our main result is related to existence of weak solutions to the resulting evolutionary PDE system in a proper variational setting. |
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